# UVA113 solution

Current work in cryptography involves (among other things) large prime numbers and computing

powers of numbers modulo functions of these primes. Work in this area has resulted in the practical

use of results from number theory and other branches of mathematics once considered to be of only

theoretical interest.

This problem involves the efficient computation of integer roots of numbers.

Given an integer n ≥ 1 and an integer p ≥ 1 you are to write a program that determines √n p, the

positive n-th root of p. In this problem, given such integers n and p, p will always be of the form k

n
for an integer k (this integer is what your program must find).

Input

The input consists of a sequence of integer pairs n and p with each integer on a line by itself. For all

such pairs 1 ≤ n ≤ 200, 1 ≤ p < 10101 and there exists an integer k, 1 ≤ k ≤ 109

such that k

n = p.

Output

For each integer pair n and p the value √n p should be printed, i.e., the number k such that k

n = p.

Sample Input

2
16

3
27

7
4357186184021382204544

Sample Output

4
3

1234

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#include<iostream> #include<cstdio> #include<cmath> using namespace std ; int main() { double k , n ; double p ; while (scanf("%lf%lf",&k,&n)==2) { p = pow(n,1.0/k); printf("%.0lf\n",p); } return 0 ; }

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